Speed and memory
In our performance index the Intel HD Graphics 510 (integrated) scores 0.8 and the GeForce 9600 GT scores 0.7, which makes the Intel HD Graphics 510 (integrated) about 14% faster. That is a visible but modest gap, usually 5 to 10 fps in a game that runs at 60.
The Intel HD Graphics 510 (integrated) has shared GB of video memory and the GeForce 9600 GT has 1 GB. That is a small difference and unlikely to decide anything.
In our estimates for popular games at 1080p on High, the biggest gap is in Cyberpunk 2077 (3 against 1 fps), and the smallest is in Minecraft: Java Edition (18 against 16 fps). Games that are light enough to run above 200 fps on both cards show little difference at all.